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Local and nonlocal solvable structures in ODEs reduction
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ferraioli, D. Catalano Morando, Paola |
| Copyright Year | 2009 |
| Abstract | Solvable structures, likewise solvable algebras of local symmetries, can be used to integrate scalar ODEs by quadratures. Solvable structures, however, are particularly suitable for the integration of ODEs with a lack of local symmetries. In fact, under regularity assumptions, any given ODE always admits solvable structures even though finding them in general could be a very difficult task. In practice a noteworthy simplification may come by computing solvable structures which are adapted to some admitted symmetry algebra. In this paper we consider solvable structures adapted to local and nonlocal symmetry algebras of any order (i.e., classical and higher). In particular we introduce the notion of nonlocal solvable structure. PACS numbers: 02.30.Hq AMS classification scheme numbers: 34C14, 70S10 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0807.3276v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Acer Aharonov–Bohm effect Cellular automaton Computation (action) Decision problem Diabetes Insipidus Effective method Hospital admission Maple Multidimensional Digital Pre-distortion Nonlocal Lagrangian Physics and Astronomy Classification Scheme Published Comment Quantum nonlocality Symbolic computation |
| Content Type | Text |
| Resource Type | Article |
